<i>ψ</i>-SHIFTED OPERATIONAL MATRIX SCHEME FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Shazia Sadiq; Mujeeb ur Rehman

doi:10.11948/20210101

2022 Volume 12 Issue 2

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Shazia Sadiq, Mujeeb ur Rehman. ψ-SHIFTED OPERATIONAL MATRIX SCHEME FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 497-516. doi: 10.11948/20210101

Citation:

Shazia Sadiq, Mujeeb ur Rehman. ψ-SHIFTED OPERATIONAL MATRIX SCHEME FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 497-516. doi: 10.11948/20210101

ψ-SHIFTED OPERATIONAL MATRIX SCHEME FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Shazia Sadiq^1, ,,
Mujeeb ur Rehman¹

1.
Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan

Corresponding author: Email: shaziaali5@yahoo.com(S. Ali)

Abstract

Abstract

In this paper, we present a numerical method to solve space-time fractional partial differential equations. We introduce $ \psi$-shifted Chebyshev polynomials to construct operational matrices of fractional differentiation in the Caputo sense. These operational matrices are then used to find the solution of fractional partial differential equations. The efficiency and applicability of introduced numerical scheme is tested by comparing the proposed numerical approximations with the results obtained from existing numerical methods.
- Fractional partial differential equations /
- ψ-shifted Chebyshev polynomials /
- operational matrices /
- fractional derivatives

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References

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